TOKYO — Japan Airlines said Monday that the grounding of its Boeing 787 Dreamliner fleet would cost it $7.5 million in earnings through March and that it would seek compensation from Boeing Co.

In making the announcement, Japan Airlines joined other Dreamliner operators, like All Nippon Airways and United Airlines, in raising the possibility of demanding compensation. That adds to Boeing’s woes as it struggles to determine why a battery aboard a parked 787 burst into flames and another emitted smoke while a plane was in the air last month.